We must solve for x the following equation:
![6-5x=2x-7x+1.](https://img.qammunity.org/2023/formulas/mathematics/college/oinqnbs7yl32g2k4zyh70wk8ggyp4s9mt9.png)
1) First, we pass the term -5x to the right-hand-side of the equation:
![6=2x-7x+5x+1](https://img.qammunity.org/2023/formulas/mathematics/college/84fjkj2gx5hlphtsndlk7jtdyu4bvqec2h.png)
2) Now, we pass the +1 on the right to the left:
![6-1=2x-7x+5x](https://img.qammunity.org/2023/formulas/mathematics/college/dc1htz8zd6uyaddhap3nuk3alx027ikxhd.png)
3) We simplify both sides of the equation:
![5=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/mxb19fb7dr5fg3ggo387eg7ezsorpg9ice.png)
After the last simplification, we got an incompatible equation.
So we conclude that the equation for x is an incompatible system, an there are no solutions of x such that the equation